All ISEE Middle Level Quantitative Resources
Example Questions
Example Question #1 : How To Find The Part From The Whole
Harvey bought a suit at a 25% employee discount at the store where he works. The suit originally cost $350.00. How much did he end up paying?
Finding 25% of a number is the same as multiplying it by 0.25; to get the discount, multiply 0.25 by the original purchase price of $350.00
To get the price Harvey paid, subtract the discount from the original price:
Example Question #872 : Isee Middle Level (Grades 7 8) Quantitative Reasoning
Which of the following is true if ?
Two expressions are equivalent in modulo 9 arithmetic if and only if, when each is divided by 9, the same remainder is yielded.
,
so
, so
is the correct choice.
Example Question #872 : Isee Middle Level (Grades 7 8) Quantitative Reasoning
is a positive integer. Which is the greater quantity?
(a) The remainder if is divided by 5
(b) The remainder if is divided by 4
(a) and (b) are equal
(b) is the greater quantity
(a) is the greater quantity
It is impossible to determine which is greater from the information given
It is impossible to determine which is greater from the information given
The information is insufficient.
For example, if :
.
.
This gives the division in (b) the greater remainder.
But if :
.
.
This gives the division in (a) the greater remainder.
Example Question #872 : Isee Middle Level (Grades 7 8) Quantitative Reasoning
is a positive even integer. Which is the greater quantity?
(a) The remainder if is divided by 6
(b) The remainder if is divided by 3.
It is impossible to determine which is greater from the information given
(b) is the greater quantity
(a) and (b) are equal
(a) is the greater quantity
(a) and (b) are equal
Since is an even integer, by definition, there is an integer
such that
.
; therefore,
; the remainder is 0.
Also,
; the remainder is 0.
The two remainders are both equal to 0.
Example Question #5 : How To Find The Part From The Whole
is a positive odd integer. Which is the greater quantity?
(a) The remainder if is divided by 8
(b) The remainder if is divided by 4
(a) and (b) are equal
(b) is the greater quantity
It is impossible to determine which is greater from the information given
(a) is the greater quantity
(a) is the greater quantity
, with a remainder of 0.
If were to yield a remainder of 0, then
must be a whole number; this can only happen if
is even. Since
is odd, it follows that
is not a whole number, and
must yield a nonzero remainder. (a) must be the greater quantity.
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All ISEE Middle Level Quantitative Resources
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